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Brinkman Number Equation and Calculator

Fluids Flow Design and Engineering
Heat Transfer Engineering

Brinkman Number Equation and Calculator

The Brinkman number (Br) is a dimensionless number related to heat conduction from a wall to a flowing viscous fluid, commonly used in polymer processing.

Eq. 1

Br = µ vb2 / ( k ( Tb - To )


ยต = Dynamic Viscosity (Pa-s)
vb = Velocity at Outer Perimeter (cm/s)
k = Thermal Conductivity (W/cm-K)
Tb = Temperature at Outer Perimeter (K)
To  = Temperature at Inner Perimeter (K)
Br = Brinkman Number (dimensionless)


Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley & Sons,Chapter: 10, Page: 300.